The Newton-Raphson Algorithm Is Applied to Estimate a Zero of F(x)

question 84

Multiple Choice

The Newton-Raphson algorithm is applied to estimate a zero of f(x) with $x 0$ = 3. Which of the following statements is true?

• A) \(\mathrm { x } _ { 1 }\) = 3 - \(\frac { f ^ { \prime } ( 3 ) } { f ( 3 ) }\)
• B) \(\mathrm { x } _ { 1 }\) = 3 + \(\frac { f ^ { \prime } ( 3 ) } { f ( 3 ) }\)
• C) \(\mathrm { x } _ { 1 }\) = 3 - \(\frac { f ( 3 ) } { f ^ { \prime } ( 3 ) }\)
• D) \(\mathrm { x } _ { 1 }\) = \(\frac { f ^ { \prime } ( 3 ) } { f ( 3 ) }\)
• E) none of these

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